The expanded form of the number 357.25 can be expressed by breaking it down into its place value components. Here's the breakdown:
- 3 is in the hundreds place: \(3 \times 100\)
- 5 is in the tens place: \(5 \times 10\)
- 7 is in the ones place: \(7 \times 1\)
- 2 is in the tenths place: \(2 \times \frac{1}{10}\) (or \(2 \times 0.1\))
- 5 is in the hundredths place: \(5 \times \frac{1}{100}\) (or \(5 \times 0.01\))
So the correct expanded form is: \[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
However, since the choices you have provided seem to contain some formatting confusion, let's clarify:
- The place value of 2 is indeed in the tenths place, not the hundreds. Therefore, it should be multiplied by \( \frac{1}{10} \), not \(110\), as implied in some choices.
- The place value of 5, in the decimal part, corresponds to the hundredths place, which means it should be multiplied by \( \frac{1}{100} \).
From your options, none seem to perfectly represent the expanded form.
If we disregard some inconsistencies, and based on what's presented:
- Correct expanded form: \[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \text{ or } (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 0.1) + (5 \times 0.01) \]
Make sure that you are interpreting fractions and place values correctly when choosing answers.
1 answer